Respuesta :

lhemetline
I think the answer would be f-1(x)= 1/2x-3/2

The inverse of the function g(x)=-2x -3.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given function:

f(x) = -1/2 x - 3/2

Since the function is inverse, so

g(f(x)) = a(-1x/2 - 3/2) + b

x = -ax/2 - 3x/2 + b

-a/2 = 1

a = -2

and, -3a/2 + b = 0

b= -3

Hence, the inverse of the function g(x)=-2x -3.

Learn more about Function here:

brainly.com/question/5245372

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